Given equation is 5x + 7y -35 = 0

We can rewrite it as 7y = 35 - 5x

7y = - 5x + 35

This equation is in the slope-intercept form i.e. it is the form of

, where m is the slope of the line and c is y-intercept of the line

Therefore, and c = 5

Conclusion: Slope is and y-intercept is 5